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4189786286016 = 26375733438623
BaseRepresentation
bin111100111110000010101…
…110010010011111000000
3112211112120102001221211110
4330332002232102133000
51022121140242123031
612524432232443320
7611462544552252
oct74760256223700
915745512057743
104189786286016
111375973149331
12578012b49540
13245131080c66
14106b02b49cd2
1573ebc908c46
hex3cf82b927c0

4189786286016 has 112 divisors (see below), whose sum is σ = 11104728233984. Its totient is φ = 1394171606016.

The previous prime is 4189786286009. The next prime is 4189786286027. The reversal of 4189786286016 is 6106826879814.

4189786286016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485880681 + ... + 485889303.

It is an arithmetic number, because the mean of its divisors is an integer number (99149359232).

Almost surely, 24189786286016 is an apocalyptic number.

It is an amenable number.

4189786286016 is an abundant number, since it is smaller than the sum of its proper divisors (6914941947968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4189786286016 is a wasteful number, since it uses less digits than its factorization.

4189786286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 4189786286016 in words is "four trillion, one hundred eighty-nine billion, seven hundred eighty-six million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 757 1514 2271 3028 3343 4542 6056 6686 8623 9084 10029 12112 13372 17246 18168 20058 24224 25869 26744 34492 36336 40116 48448 51738 53488 68984 72672 80232 103476 106976 137968 145344 160464 206952 213952 275936 320928 413904 551872 641856 827808 1655616 2530651 5061302 6527611 7591953 10122604 13055222 15183906 19582833 20245208 26110444 28826689 30367812 39165666 40490416 52220888 57653378 60735624 78331332 80980832 86480067 104441776 115306756 121471248 156662664 161961664 172960134 208883552 230613512 242942496 313325328 345920268 417767104 461227024 485884992 626650656 691840536 922454048 1253301312 1383681072 1844908096 2767362144 5534724288 21821803573 43643607146 65465410719 87287214292 130930821438 174574428584 261861642876 349148857168 523723285752 698297714336 1047446571504 1396595428672 2094893143008 4189786286016